# Gradians to Minutes Of Arc Conversion

Enter the angle in gradians below to get the value converted to minutes of arc.

**Results in Minutes Of Arc:**

^{g}= 54 arcmin

## How to Convert Gradians to Minutes Of Arc

To convert a gradian measurement to a minute of arc measurement, multiply the angle by the conversion ratio.

Since one gradian is equal to 54 minutes of arc, you can use this simple formula to convert:

The angle in minutes of arc is equal to the gradians multiplied by 54.

**For example,**here's how to convert 5 gradians to minutes of arc using the formula above.

^{g}= (5 × 54) = 270'

### How Many Minutes Of Arc are in a Gradian?

There are **54** minutes of arc in a gradian, which is why we use this value in the formula above.

1^{g} = 54'

Gradians and minutes of arc are both units used to measure angle. Keep reading to learn more about each unit of measure.

## Gradians

A gradian is equal to 1/400 of a revolution or circle, or 9/10°.
The grad, or gon, is more precisely defined as π/200, or 1.570796 × 10^{-2} radians.^{[1]}

This unit simplifies the measurements of right angles, as 90° is equal to 100 gradians.

Gradians | Degrees |
---|---|

0 grad | 0° |

100 grad | 90° |

200 grad | 180° |

300 grad | 270° |

400 grad | 360° |

A gradian is sometimes also referred to as a grad, gon, or grade. Gradians can be abbreviated as * ^{g}*, and are also sometimes abbreviated as

*gr*or

*grd*. For example, 1 gradian can be written as 1

^{g}, 1 gr, or 1 grd.

In formal expressions, the slash, or solidus (/), is used to separate units used to indicate division in an expression.

## Minutes Of Arc

The minute of arc is a unit of angle equal to 1/60th of one degree, or 1/21,600 of a circle. The minute of arc is also equal to π/10,800 radians.

A minute of arc is sometimes also referred to as an arc minute, arcminute, or minute arc. Minutes of arc can be abbreviated as *arcmin*, and are also sometimes abbreviated as *MOA* or *amin*. For example, 1 minute of arc can be written as 1 arcmin, 1 MOA, or 1 amin.

The minute of arc is most commonly represented using the prime (′), although the single-quote is commonly used. For instance, 1 minute of is most commonly expressed as 1′.

## Gradian to Minute Of Arc Conversion Table

Gradians | Minutes Of Arc |
---|---|

1^{g} |
54' |

2^{g} |
108' |

3^{g} |
162' |

4^{g} |
216' |

5^{g} |
270' |

6^{g} |
324' |

7^{g} |
378' |

8^{g} |
432' |

9^{g} |
486' |

10^{g} |
540' |

11^{g} |
594' |

12^{g} |
648' |

13^{g} |
702' |

14^{g} |
756' |

15^{g} |
810' |

16^{g} |
864' |

17^{g} |
918' |

18^{g} |
972' |

19^{g} |
1,026' |

20^{g} |
1,080' |

21^{g} |
1,134' |

22^{g} |
1,188' |

23^{g} |
1,242' |

24^{g} |
1,296' |

25^{g} |
1,350' |

26^{g} |
1,404' |

27^{g} |
1,458' |

28^{g} |
1,512' |

29^{g} |
1,566' |

30^{g} |
1,620' |

31^{g} |
1,674' |

32^{g} |
1,728' |

33^{g} |
1,782' |

34^{g} |
1,836' |

35^{g} |
1,890' |

36^{g} |
1,944' |

37^{g} |
1,998' |

38^{g} |
2,052' |

39^{g} |
2,106' |

40^{g} |
2,160' |

## References

- Ambler Thompson and Barry N. Taylor, Guide for the Use of the International System of Units (SI),
*National Institute of Standards and Technology*, https://physics.nist.gov/cuu/pdf/sp811.pdf